A cat is located at the point `(-6, -4)` in xy plane. A bottle of milk is kept at (5,11).The cat wishes to consume the milk travelling through shortest possible distance. Find the equation of the path it needs to take its milk.

A cat is located at the point (-6, -4) in xy plane. A bottle of milk travelling through shortest possible distance. Find the equation of the path it needs to take its milk.

Consider the points A(3,-4,-5) and B(2,-3,1). i.Find the vector and cartesian equations of the line passing through the points A and B. ii. Find the point where the line crosses the XY plane.

Consider the points A(5,1,6) and B(3,4,1) i.Find the cartesian equation of the line through A and B. ii. Find the point where the line crosses the yz plane.

In a T20 match, Chennai Super Kings needed just 6 runs to win with 1 ball left to go in the last over. The last ball was bowled and the batsman at the crease hit it high up. The ball traversed along a path in a vertical plane and the equation of the path is y=ax^(2)+bx+c with respect to a xy -coordinate system in the vertical plane and the ball traversed through the points (10,8),(20,16),(40,22), can you conclude that Chennai Super Kings won the match? Justify your answer. (All distances are measured in metres and the meeting point of the plane of the path with the farthest boundary line is (70,0).)

In a T20 match, Chennai Super Kings needed just 6 runs to win with 1 ball left to go in the last over. The last ball was bowled and the batsman at the crease hit it high up. The ball traversed along a path in a vertical plane and the equation of the path is y=ax^(2)+bx+c with respect to a xy-coordinate system in the vertical plane and the ball traversed through the points (10,8),(20,16), (30,18) can you conclude that Chennai Super Kings won the match? Justify your answer. (All distances are measured in metres and the meeting point of the plane of the path with the farthest boundary line is (70,0).

Find the equation of the plane that passes through three points : (1,1,-1),(6,4,-5),(-4,-2,3) .

The upper 3/4 th portion of a vertical pole subtends an angle theta such that tan theta=3/5 at a point in the horizontal plane through its foot and at a distance 40m from the foot. Find the possible height of the vertical pole.

Find the coordinates of the point where the line through the points A(3,4, 1) and B(5, 1,6) crosses the XY plane.

Mr. A lives at origin on the Cartesian plane and has his office at (4,5) His friend lives at (2,3) on the same plane. Mrs. A can go to his office travelling one block at a time either in the +y or +x direction. If all possible paths are equally likely then the probability that Mr. A passed his friends house is (shortest path for any event must be considere (a) 1/2 (b) 10/21 (c) 1/4 (d) 11/21

Find the equation of the plane passing through the points (2,1,0),(5,0,1) and (4,1,1) If P is the point (2,1,6) then find point Q such that PQ is perpendicular to the above plane and the mid point of PQ lies on it.